Answer:
15
Step-by-step explanation:
the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use [tex]arctan(\frac{y}{x})[/tex] which in this case is
[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]
now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x
to find y we use tan(45) = [tex]\frac{y}{x}[/tex]
multiply both sides by x = 15 and simplify to get y = 15
